Question

The diagonal of a square is x units. What is the area of the square in terms of x? square units square units 2x square units square units

Answer 1

For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

$l ^ 2 + l ^ 2 = x ^ 2$

Where:

l: It's the side of the square.

$2l ^ 2 = x ^ 2\\l ^ 2 = \frac {x ^ 2} {2}$

We know that the area of a square is given by:

$A = l ^ 2$

So, the area is:

$A = \frac {x ^ 2} {2}$

Answer:

$A = \frac {x ^ 2} {2}$

Answer 2

Answer:

Option A: 1/2 x^2

Step-by-step explanation: